Answer: 8x³ - 46x² - 15x + 18
Step-by-step explanation:
To find the volume of a rectangular prism we will multiply each of the three dimensions given
First, let's multiply 4x+3 by x-6: (4x+3)(x-6) = 4x² - 21x - 18
Then we will multiply 4x²... by 2x-1: (4x²-21x-18)(2x-1) = 8x³ - 46x² - 15x + 18
Answer:
Step-by-step explanation:t55
An octagon has 8 sides. If each of them has a length of x, then the perimeter is 8x which is twice the perimeter of the square. (The square has a perimeter of 4x)
A dodecagon is a 12 sided regular polygon. It will have 12 sides all of which are equal to x. Since the square has a perimeter of 4x and the dodecagon has a perimeter of 12x the perimeter of the dodecagon is 3 times that of the given square.
Answer:
Option c (7.8) is the correct alternative.
Step-by-step explanation:
The given points are:
(x₁, y₁) = (2, -3)
(x₂, y₂) = (-4, 2)
As we know,
The distance between two points will be:
= 
On substituting the values, we get
= 
= 
= 
= 
= 
= 
<h3>Answer:</h3>
1.9
Step-by-step explanation:
<h3>The above is direct and inverse variation.</h3>
A = kB/C -----------(1)
A=12
B = 3
C= 2
substitute A, B and C into equation (1).
12 = K × 3/2
12 = 3k/2
12×2 = 3k
3K = 24
dividing bothsides by 3
3K/3 = 24/3
K = 8
substitute K = 8 into equation (1)
A = 8B /C --------------(2)
Equation (2) is the equation connecting
A,B and C.
Finding B when A = 10 and C = 1.5
10 = 8B / 1.5
10× 1.5 = 8B
15 = 8B
Dividing bothsides by 8 :
B = 15/8
B = 1.875
B = 1. 9 ( approximately)
